Title :
Parallel implementation of Numerov´s method based algorithm for singularly perturbed boundary value problems
Author :
Bawa, Rajesh K. ; Walia, Amandeep
Author_Institution :
Dept. of Comput. Sci., Punjabi Univ., Patiala, India
Abstract :
In this paper, a parallel computational technique is proposed for solving self-adjoint singularly perturbed boundary value problems. After decomposing the domain into three non-overlapping subdomains, we devise three independent boundary-value problems and then using Numerov´s scheme for the boundary regions and reduced solution for the regular region, we solve them using three different processors. We have implemented the proposed scheme on parallel machine and speed-ups along with maximum errors are computed to show the efficiency of the scheme.
Keywords :
boundary-value problems; parallel processing; singularly perturbed systems; Numerov method; nonoverlapping subdomains; parallel computational technique; parallel machine; self-adjoint singularly perturbed boundary value problems; Boundary conditions; Boundary value problems; Computer science; Concurrent computing; Iterative algorithms; Parallel algorithms; Parallel machines; Parallel processing; Quantum computing; Spline; Domain decomposition; Numerov´s scheme; Parallel Computing; Singular Perturbation;
Conference_Titel :
Computing & Informatics, 2006. ICOCI '06. International Conference on
Conference_Location :
Kuala Lumpur
Print_ISBN :
978-1-4244-0219-9
Electronic_ISBN :
978-1-4244-0220-5
DOI :
10.1109/ICOCI.2006.5276429
